Find the form of $f:\mathbb{C}\to\mathbb{C}$ which is entire, conformal and $\lim_{z\to\infty} f(z)=\infty$

Question

Find the most general form of a function $f:\mathbb{C}\to\mathbb{C}$ which is entire, conforal and $\lim_{z\to\infty} f(z)=\infty$.

I know that if $f$ is entire and $\lim_{z\to\infty}f(z)=\infty$ then $f$ is a polynomial. How can I use its conformity?